137993894640 has 1920 divisors, whose sum is σ = 635102208000. Its totient is φ = 26085556224.

The previous prime is 137993894609. The next prime is 137993894653. The reversal of 137993894640 is 46498399731.

137993894640 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 93 + 89 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1746758121 + ... + 1746758199.

It is an arithmetic number, because the mean of its divisors is an integer number (330782400).

Almost surely, 2^137993894640 is an apocalyptic number.

137993894640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137993894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317551104000).

137993894640 is an abundant number, since it is smaller than the sum of its proper divisors (497108313360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137993894640 is a wasteful number, since it uses less digits than its factorization.

137993894640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 137993894640 in words is "one hundred thirty-seven billion, nine hundred ninety-three million, eight hundred ninety-four thousand, six hundred forty".